Exponents and Polynomials - XYZ Custom Plus

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788Chapter 12 Exponents and PolynomialsGetting Ready for the Next SectionSimplify.83. 3 − 8−584. −5 + 7285. −1 + 7686. 1 − 8−787. 3(5) 2 + 17691. −5x + 7x2x88. 3(−2) 2 − 5(−2) + 42692. x − 2x−x95. Find the value of 2x + 3 when x = 4.11Maintaining Your SkillsFind the value of each expression when x = −2.97. 4x−8100. −4x − 1798. −3x6101. x 2 + 5x + 6089. 2x 2 + 4x 290. 3x 2 − x 26x 2 2x 293. −(2x + 9)−2x − 996. Find the value of (3x) 2 when x = 3.8199. −2x + 59102. x 2 − 5x + 62094. −(4x 2 − 2x − 6)−4x 2 + 2x + 6For each of the following equations, complete the given ordered pairs so each is a solution to the equation, and then usethe ordered pairs to graph the equation.103. y = 2x + 2(−2, −2), (0, 2), (2, 6)2yx104. y = 2x − 3(−1, −5), (0, −3), (2, 1)−3yx105. y = _1 3 x + 1(−3, 0), (0, 1), (3, 2)y1x106. y = _1 2 x − 2(−2, −3), (0, −2), (2, −1)y–2xNOT FOR SALE. Copyright XYZtextbooks Last re
NOT FOR SALE. Copyright XYZtextbooks Last reAddition and Subtractionof PolynomialstiCkEt to suCCEssKeep these questions in mind as you read through the section. Then respond in yourown words and in complete sentences.1. What is the difference between a binomial and a trinomial?2. What is the degree of a polynomial?3. Describe how you would subtract one polynomial from another.4. How would you find the value of 3 x 2 − 5x + 4 when x is −2?In this section, we will extend what we learned in Section 5.3 to expressionscalled polynomials. We begin this section with the definition of a polynomial.DefinitionA polynomial is a finite sum of monomials (terms).The following are examples of polynomials:3x 2 + 2x + 1 15x 2 y + 21xy 2 − y 2 3a − 2b + 4c − 5dSuppose we left the television and the ceiling fan on when we left the housefor the day. The amount of energy wasted by the ceiling fan was 5 fewer wattsper hour than the television. The next day, we left on the television, the ceilingfan, and the stereo, which wasted three times the amount of the television. Howmuch total energy did we waste over the two days?To help us solve this problem, we will arrange all our given information intoa table.EnErGY usE (WAtts/Hour)television Ceiling Fan stereoDay 1 x x − 5Day 2 x x − 5 3x12.4 Addition and Subtraction of PolynomialsLosevsky/Shutterstock.comAB12.4oBJECtiVEsAdd and subtract polynomials.Find the value of a polynomialfor a given value of the variable.789
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